Asymptotic Behavior of the Solutions of an Elliptic-parabolic System Arising in Flow in Porous Media

نویسنده

  • Y. AMIRAT
چکیده

We study the asymptotic behavior, with respect to high Péclet numbers, of the solutions of the nonlinear elliptic-parabolic system governing the displacement of one incompressible fluid by another, completely miscible with the first, in a porous medium. Using compensated compactness techniques, we obtain the existence of a global weak solution to the nonlinear degenerate elliptic-parabolic system modelling the flow when the molecular diffusion effects are neglected.

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تاریخ انتشار 2004